106123334625 has 320 divisors, whose sum is σ = 254679220224. Its totient is φ = 42670800000.

The previous prime is 106123334593. The next prime is 106123334627. The reversal of 106123334625 is 526433321601.

106123334625 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 23 + 3 + 3 + 4 + 625 = 666.

It is not a de Polignac number, because 106123334625 - 2⁵ = 106123334593 is a prime.

It is a super-2 number, since 2×106123334625² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106123334625.

It is not an unprimeable number, because it can be changed into a prime (106123334627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 24166180 + ... + 24170570.

Almost surely, 2^106123334625 is an apocalyptic number.

106123334625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106123334625 is an abundant number, since it is smaller than the sum of its proper divisors (148555885599).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106123334625 is a wasteful number, since it uses less digits than its factorization.

106123334625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 106123334625 in words is "one hundred six billion, one hundred twenty-three million, three hundred thirty-four thousand, six hundred twenty-five".